Question

For a distribution of 250 heights, calculations showed that the mean standard deviation , B1 and 52 were 54 inches , 3 inches. 0 and 3 inches respectively. It was however, discovered on checking that the two items 64 and 50 in the original data were wrongly written in place of the correct values 62 and 52 inches respectively.Calculate the correct frequency constants. (Bloom Taxonomy 6)​

Answer 1

Given :- $2(7) {}^{{n - 1}}$

To Find :- Which sequence is represented by the equation $2(7) {}^{{n - 1}}$

Solution :-

Given equation - $2(7) {}^{{n - 1}}$

Let n = 1,

$2(7) {}^{{1 - 1}} = 2(7) {}^{{ 0}} = 2 \times 1 = 2$

Let n = 2,

$2(7) {}^{{2 - 1}} = 2(7) {}^{{ 1}} = 2 \times 7 = 14$

Let n = 3,

$2(7) {}^{{3 - 1}} = 2(7) {}^{{ 2}} = 2 \times 49= 98$

Let n = 4,

$2(7) {}^{{4 - 1}} = 2(7) {}^{{3}} = 2 \times 343= 686$

Sequence - 2, 14, 98, 686.

Hence, the sequence represented by the equation $2(7) {}^{n - 1}$ is 2, 14, 98, 686.

Hence, the final answer is option (B) 2, 14, 98, 686.